How do you graph y=tan3x?

Nov 19, 2017

See below.

Explanation:

The graph of $y = \tan 3 x$ is the graph of $y = \tan x$ with a horizontal compression by a factor of $\frac{1}{3}$

The period of $\tan x$ is $\pi$, so the period of $\tan 3 x$ is:

$\frac{1}{3} \cdot \pi = \frac{\pi}{3}$

Graphs of $y = \tan 3 x \mathmr{and} y = \tan x$